com.google.guava
      guava
      22.0
    
    
      org.apache.commons
      commons-collections4
      4.1
    

    Set a = new HashSet<>(Arrays.asList(1, 2, 3, 4));
    Set b = new HashSet<>(Arrays.asList(3, 4, 5, 6));
    Sets.SetView result = Sets.symmetricDifference(a,b);
    System.out.println(result);

    Set a = new HashSet<>(Arrays.asList(1, 2, 5));
    Set b = new HashSet<>(Arrays.asList(1, 2, 3));
    SetUtils.SetView result = SetUtils.disjunction(a, b);
    assertTrue(result.toSet().contains(5) && result.toSet().contains(3));

public static  Pair,Collection> disjunction2(final Collection<? extends O> first,
                                  final Collection<? extends O> second,
                                  final Predicate p) {
    final List firstList = first.stream()
        .filter(e -> p.evaluate(e))
        .collect(Collectors.toList());

    final List secondList = second.stream()
        .filter(e -> !firstList.remove(e))
        .collect(Collectors.toList());
    return Pair.of(firstList,secondList);
  }

final List first = Arrays.asList("bbb", "ccc","dddd","aaa");
final List second = Arrays.asList("aaa", "zzz", "ccc");
System.out.println(disjunction(first,second,TruePredicate.truePredicate()));